MAYBE
Input TRS:
      1: C(C(x1)) -> c(c(x1))
      2: c(c(c(c(x1)))) -> x1
      3: b(b(b(b(x1)))) -> B(B(x1))
      4: B(B(B(B(x1)))) -> b(b(x1))
      5: c(c(B(B(c(c(b(b(c(c(x1)))))))))) -> B(B(c(c(b(b(c(c(B(B(c(c(b(b(x1))))))))))))))
      6: b(b(B(B(x1)))) -> x1
      7: B(B(b(b(x1)))) -> x1
      8: c(c(C(C(x1)))) -> x1
      9: C(C(c(c(x1)))) -> x1
Number of strict rules: 9
Direct POLO(bPol) ... removes: 8 1 9 2
      b 	w: x1
      c 	w: x1 + 32279
      C 	w: x1 + 32280
      B 	w: x1
Number of strict rules: 5
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #c(c(B(B(c(c(b(b(c(c(x1)))))))))) -> #B(B(c(c(b(b(c(c(B(B(c(c(b(b(x1))))))))))))))
     #2: #c(c(B(B(c(c(b(b(c(c(x1)))))))))) -> #B(c(c(b(b(c(c(B(B(c(c(b(b(x1)))))))))))))
     #3: #c(c(B(B(c(c(b(b(c(c(x1)))))))))) -> #c(c(b(b(c(c(B(B(c(c(b(b(x1))))))))))))
     #4: #c(c(B(B(c(c(b(b(c(c(x1)))))))))) -> #c(b(b(c(c(B(B(c(c(b(b(x1)))))))))))
     #5: #c(c(B(B(c(c(b(b(c(c(x1)))))))))) -> #b(b(c(c(B(B(c(c(b(b(x1))))))))))
     #6: #c(c(B(B(c(c(b(b(c(c(x1)))))))))) -> #b(c(c(B(B(c(c(b(b(x1)))))))))
     #7: #c(c(B(B(c(c(b(b(c(c(x1)))))))))) -> #c(c(B(B(c(c(b(b(x1))))))))
     #8: #c(c(B(B(c(c(b(b(c(c(x1)))))))))) -> #c(B(B(c(c(b(b(x1)))))))
     #9: #c(c(B(B(c(c(b(b(c(c(x1)))))))))) -> #B(B(c(c(b(b(x1))))))
     #10: #c(c(B(B(c(c(b(b(c(c(x1)))))))))) -> #B(c(c(b(b(x1)))))
     #11: #c(c(B(B(c(c(b(b(c(c(x1)))))))))) -> #c(c(b(b(x1))))
     #12: #c(c(B(B(c(c(b(b(c(c(x1)))))))))) -> #c(b(b(x1)))
     #13: #c(c(B(B(c(c(b(b(c(c(x1)))))))))) -> #b(b(x1))
     #14: #c(c(B(B(c(c(b(b(c(c(x1)))))))))) -> #b(x1)
     #15: #b(b(b(b(x1)))) -> #B(B(x1))
     #16: #b(b(b(b(x1)))) -> #B(x1)
     #17: #B(B(B(B(x1)))) -> #b(b(x1))
     #18: #B(B(B(B(x1)))) -> #b(x1)
Number of SCCs: 2, DPs: 10
  SCC { #15..18 }
POLO(Sum)... succeeded.
      b 	w: x1 + 2
      #B 	w: x1 + 1
      c 	w: 0
      C 	w: 0
      B 	w: x1 + 4
      #c 	w: 0
      #b 	w: x1
    USABLE RULES: { 3 4 6 7 }
    Removed DPs: #15..18
Number of SCCs: 1, DPs: 6
  SCC { #3 #4 #7 #8 #11 #12 }
POLO(Sum)... succeeded.
      b 	w: x1
      #B 	w: x1 + 1
      c 	w: x1 + 8946
      C 	w: 0
      B 	w: x1
      #c 	w: x1
      #b 	w: x1
    USABLE RULES: { 3..7 }
    Removed DPs: #4 #7 #8 #11 #12
Number of SCCs: 1, DPs: 1
  SCC { #3 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  failed.